phsl / new-api

- Re-introduce the custom translucent background color and thin border scheme
  for timing and duration badges in common, drawing, and task logs.
- Remove strict max-width constraints on model badges to ensure complete
  names (with version suffixes) are always visible and wrap gracefully.
- Adjust spacing on model and token badges (h-6 height, larger gaps, and
  proper padding) to prevent crowded elements and restore a balanced,
  high-quality look in the log tables.